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Finding the Fourth Proportional to 1,181.93, 1,761.08 and 1,052.60

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Solution

The fourth proportional to 1,181.93, 1,761.08 and 1,052.60 is: 1,568.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.93 : 1,761.08 = 1,052.60 : x
  2. Step 2: Convert to fraction form
    1,181.93/1,761.08 = 1,052.60/x
  3. Step 3: Cross multiply
    1,181.93x = 1,761.08 × 1,052.60
  4. Step 4: Simplify right side
    1,181.93x = 1,853,698.74
  5. Step 5: Solve for x
    x = 1,853,698.74/1,181.93
  6. Step 6: Final answer
    x = 1,568.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.